Out-of-Plane Impact at the Tip of a Right-Angled Bent Cantilever Beam

Abstract

The present paper provides an analysis of the response of a right-angled bent cantilever beam subjected to an out-of-plane impulsive load (i.e., suddenly imposed velocity) applied to concentrated mass at its tip. If T 0 and M 0 are the fully plastic torque and bending moment, respectively, of the cross section, it is shown that for the case T 0 /M 0 < 1, a double hinge mechanism is required, with a pure bending hinge in the first segment of the beam and a combined bending-torsion hinge in the second segment. The history of deformation is described following impartation of the load.